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16968 has 32 divisors (see below), whose sum is σ = 48960. Its totient is φ = 4800.

The previous prime is 16963. The next prime is 16979. The reversal of 16968 is 86961.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16963) by changing a digit.

16968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118 + ... + 218.

It is an arithmetic number, because the mean of its divisors is an integer number (1530).

216968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24480).

16968 is an abundant number, since it is smaller than the sum of its proper divisors (31992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16968 is a wasteful number, since it uses less digits than its factorization.

16968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 16968 is about 130.2612759035. The cubic root of 16968 is about 25.6966722414.

The spelling of 16968 in words is "sixteen thousand, nine hundred sixty-eight".